Equations of motion in scalar-tensor theories of gravity: A covariant multipolar approach

Abstract

We discuss the dynamics of extended test bodies for a large class of scalar-tensor theories of gravitation. A covariant multipolar Mathisson-Papapetrou-Dixon type of approach is used to derive the equations of motion in a systematic way for both Jordan and Einstein formulations of these theories. The results obtained provide the framework to experimentally test scalar-tensor theories by means of extended test bodies.

arXiv comment5 pages, RevTex format

References in corpus (12)

• The motion of point particles in curved spacetime
• On Physical Equivalence between Nonlinear Gravity Theories
• Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
• Physical non-equivalence of the Jordan and Einstein frames
• Some remarks on the genesis of scalar-tensor theories
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Gravity and Scalar Fields
• Conservation laws in gravitational theories with general nonminimal coupling
• Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
• The roots of scalar-tensor theory: an approximate history
• Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame
• Gravitational wave astronomy: the definitive test for the "Einstein frame versus Jordan frame" controversy

Cited by in corpus (16)

• Question of quantum equivalence between Jordan frame and Einstein frame
• Invariant quantities in the scalar-tensor theories of gravitation
• Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
• Invariant slow-roll parameters in scalar-tensor theories
• Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
• Multipolar test body equations of motion in generalized gravity theories
• Exact Scalar-Tensor Cosmological Models
• Covariant Equations of Motion of Extended Bodies with Arbitrary Mass and Spin Multipoles
• The cosmological principle in theories with torsion: The case of Einstein-Cartan-Dirac-Maxwell gravity
• Induced Gravity and Quantum Cosmology
• Post-Newtonian Dynamics of Spinning Black Hole Binaries in Einstein-Scalar-Gauss-Bonnet Gravity
• Equivalence principle in scalar-tensor gravity
• Post-Newtonian Lagrangian of an N-body System with Arbitrary Mass and Spin Multipoles
• Covariant Equations of Motion Beyond the Spin-Dipole Particle Approximation
• Axion and dilaton + metric emerge from local and linear electrodynamics